Least Common Multiple (LCM) of 150 and 181
The least common multiple (LCM) of 150 and 181 is 27150.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 150 and 181?
First, calculate the GCD of 150 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 181 = 0 remainder 150 |
| 2 | 181 ÷ 150 = 1 remainder 31 |
| 3 | 150 ÷ 31 = 4 remainder 26 |
| 4 | 31 ÷ 26 = 1 remainder 5 |
| 5 | 26 ÷ 5 = 5 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 20 | 420 |
| 79 and 54 | 4266 |
| 121 and 158 | 19118 |
| 119 and 174 | 20706 |
| 89 and 65 | 5785 |